Determining Sigma - Lambda mixing
R. Horsley, J. Najjar, Y. Nakamura, H. Perlt, D. Pleiter, P.E.L., Rakow, G. Schierholz, A. Schiller, H. St\"uben, J.M. Zanotti
TL;DR
This paper investigates the mixing between Sigma and Lambda baryons, calculating the QCD mixing matrix, the mixing angle, and the mass splitting, considering isospin breaking effects and wavefunction differences.
Contribution
It provides the first determination of the QCD mixing matrix and mixing angle between Sigma and Lambda baryons, accounting for isospin breaking effects.
Findings
Calculated the QCD mixing matrix for Sigma-Lambda
Determined the mixing angle between Sigma and Lambda
Quantified the mass splitting due to mixing
Abstract
SU2 isospin breaking effects in baryon octet (and decuplet) masses are due to a combination of up and down quark mass differences and electromagnetic effects. These mass differences are small. Between the Sigma and Lambda the mass splitting is much larger, but this is mostly due to their different wavefunctions. However there is now also mixing between these states. We determine the QCD mixing matrix and hence find the mixing angle and mass splitting.
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Taxonomy
TopicsParticle physics theoretical and experimental studies · Quantum Chromodynamics and Particle Interactions · High-Energy Particle Collisions Research